106324012321 has 2 divisors, whose sum is σ = 106324012322. Its totient is φ = 106324012320.

The previous prime is 106324012259. The next prime is 106324012349. The reversal of 106324012321 is 123210423601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94209708096 + 12114304225 = 306936^2 + 110065^2 .

It is an emirp because it is prime and its reverse (123210423601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106324012321 - 2⁹ = 106324011809 is a prime.

It is a super-2 number, since 2×106324012321² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106324012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53162006160 + 53162006161.

It is an arithmetic number, because the mean of its divisors is an integer number (53162006161).

Almost surely, 2^106324012321 is an apocalyptic number.

It is an amenable number.

106324012321 is a deficient number, since it is larger than the sum of its proper divisors (1).

106324012321 is an equidigital number, since it uses as much as digits as its factorization.

106324012321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 106324012321 its reverse (123210423601), we get a palindrome (229534435922).

The spelling of 106324012321 in words is "one hundred six billion, three hundred twenty-four million, twelve thousand, three hundred twenty-one".